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5190647232 = 263411374813
BaseRepresentation
bin1001101010110001…
…01111110111000000
3111101202010012101210
410311120233313000
541112301202412
62215021330120
7242425526211
oct46530576700
914352105353
105190647232
112223a92101
12100a406940
136494bcac4
1437352b408
15205a6483c
hex13562fdc0

5190647232 has 112 divisors (see below), whose sum is σ = 14174187552. Its totient is φ = 1675345920.

The previous prime is 5190647227. The next prime is 5190647237. The reversal of 5190647232 is 2327460915.

It is an interprime number because it is at equal distance from previous prime (5190647227) and next prime (5190647237).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5190647237) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1076058 + ... + 1080870.

It is an arithmetic number, because the mean of its divisors is an integer number (126555246).

Almost surely, 25190647232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5190647232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7087093776).

5190647232 is an abundant number, since it is smaller than the sum of its proper divisors (8983540320).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5190647232 is a wasteful number, since it uses less digits than its factorization.

5190647232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5006 (or 4996 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 39.

The square root of 5190647232 is about 72046.1465451137. The cubic root of 5190647232 is about 1731.4389035628.

The spelling of 5190647232 in words is "five billion, one hundred ninety million, six hundred forty-seven thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 64 82 96 123 137 164 192 246 274 328 411 492 548 656 822 984 1096 1312 1644 1968 2192 2624 3288 3936 4384 4813 5617 6576 7872 8768 9626 11234 13152 14439 16851 19252 22468 26304 28878 33702 38504 44936 57756 67404 77008 89872 115512 134808 154016 179744 197333 231024 269616 308032 359488 394666 462048 539232 591999 659381 789332 924096 1078464 1183998 1318762 1578664 1978143 2367996 2637524 3157328 3956286 4735992 5275048 6314656 7912572 9471984 10550096 12629312 15825144 18943968 21100192 27034621 31650288 37887936 42200384 54069242 63300576 81103863 108138484 126601152 162207726 216276968 324415452 432553936 648830904 865107872 1297661808 1730215744 2595323616 5190647232